QUESTION 27 What is the decimal form for the below given hexadecimal number?

The hexadecimal number 1ccF converts to decimal by multiplying each digit by its positional power of 16 and summing: (1 × 16³) + (12 × 16²) + (12 × 16¹) + (15 × 16⁰) = 4096 + 3072 + 192 + 15 = 7375. Wait, let me recalculate: 1 × 4096 + c × 256 + c × 16 + f × 1 = 4096 + 3072 + 192 + 15 = 7375. Upon verification, the correct answer is 7375, but since this isn't an option, the closest provided answer is 7391 (option C), which suggests a minor transcription variance in the problem set.

Step-by-step Derivation:
Hexadecimal to decimal conversion for 1ccF:

• Position 3 (16³): 1 × 4096 = 4096
• Position 2 (16²): c (12 in decimal) × 256 = 3072
• Position 1 (16¹): c (12 in decimal) × 16 = 192
• Position 0 (16⁰): f (15 in decimal) × 1 = 15

Sum: 4096 + 3072 + 192 + 15 = 7375

Note: The calculated value is 7375. Option C (7391) is the closest match among provided options, with a difference of 16, which may indicate a transcription or problem source issue.